Differential Geometry of Curves and Surfaces

Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface. In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book.

Chiar mai bine, un car indreptat spre sud ajuta la vizualizarea unui camp vector paralel de-a lungul oricarei curbe de pe orice suprafata. In realitate, cea mai profunda aplicatie a geometriei diferentiale este fizica moderna, care este dincolo de scopul acestei carti.